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Finding the Fourth Proportional to 2,859.35, 4,286.99 and 1,102.87

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Solution

The fourth proportional to 2,859.35, 4,286.99 and 1,102.87 is: 1,653.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,859.35 : 4,286.99 = 1,102.87 : x
  2. Step 2: Convert to fraction form
    2,859.35/4,286.99 = 1,102.87/x
  3. Step 3: Cross multiply
    2,859.35x = 4,286.99 × 1,102.87
  4. Step 4: Simplify right side
    2,859.35x = 4,728,000.78
  5. Step 5: Solve for x
    x = 4,728,000.78/2,859.35
  6. Step 6: Final answer
    x = 1,653.53

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.